The range, standard deviation, and variance say about gas prices in 2018 discussed below
What is standard deviation and variance?Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.
As the variance in 2018 is 0.0121.
A model with low variance means sampled data is close to where the model predicted it would be.
As the standard deviation in 2018 is 0.1098.
Low standard deviation means data are clustered around the mean
A small range means low variability in a distribution.
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whats the median number mode and mean for 95, 97, 100, 86, 78, 96
Answer:
Mean = 92
Median = 95.5
There is no mode.
What is mean, median, and mode?
Mean, median, and mode are terms in math when it comes to looking at charts and sets/groups of numbers.
1. The mean is the average of a data set.
2. The median is the middle of a data set.
3. The mode is the most common number in a data set.
Mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.
Before we start, let's put the set of numbers in order from least to greatest,
95, 97, 100, 86, 78, 96
78, 86, 95, 96, 97, 100
Now that we have done that let's find the mean,
78 + 86 + 95 + 96 + 97 + 100 = 552
There are 6 numbers in this set so we need to divide 552 by 6,
552 ÷ 6 = 92
92 is the mean/average of this data set,
Now let's find the median,
If we take a look at the data set we can see that there are two numbers in the middle because there are 6 in total,
78, 86, 95, 96, 97, 100
Because there are two values that are in the middle we need to add them up and divide the sum of them by 2,
95 + 96 = 191
191 ÷ 2 = 95.5
95.5 is the median of this data set,
Now let's find the mode,
If we take a look at the date set we can see that none of the numbers are repeated,
So this means there is no mode to this data set,
Therefore the mean is 92, the median is 95.5, and there is no mode.
How much did susan earn per hour?
answer : 9.5 because you subtract and then divide by 2
Write an equation of the graph
A. y = 1/2x + 5
B. y - 3 = 1/2 (x + 1)
C. y + 3 = -1/2 (x - 1)
D. y - 3 = -1/2 (x + 1)
Answer:
It's A
Step-by-step explanation:
y/x
it's starting point is 5 and it goes up 1 and over 2
1 is on the y-axis and 2 is on the x-axis and it is y over x so the answer is 1/2x+5
NOTE:I MAY NOT BE ACCURATE BUT IM PROBABLY IT COULD BE WRONG BUT IF U REALLY ARE STUCK ON A QUESTION THEN CHOOSE A
Solve the following systems of equations:
[tex]1.& \left\{\begin{matrix} 5x-3y-z=1&\\ x+4y-6z=-1& \\ 2x+3y+4z=9& \end{matrix}\right.\\ \ \\ 2.& \left\{\begin{matrix} x+y=7& \\ x\times y=12& \end{matrix}\right.\\ \ \\ 3.& \left\{\begin{matrix} x^2+y^2=169& \\ x+y=17& \end{matrix}\right.\\ \ \\ 4. & \left\{\begin{matrix} y^2-2y+1=x & \\ \sqrt{x}+y=5 & \end{matrix}\right. \end{align*}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf 1) \ \left\{\begin{matrix} 5x-3y-z=1&\\ x+4y-6z=-1& \\ 2x+3y+4z=9& \end{matrix}\right. \end{gathered}$}[/tex]
The coefficient matrix associated with the system is constructed and the columns and rows are reduced.
[tex]\left ( \begin{array}{ccc|c} 5 & -3 &-1 &1\\ 1 & 4 & -6 &-1\\ 2 & 3 & 4 & 9 \end{array} \right ) \begin{array}{c} \xrightarrow[\textup{F}_3- 2\textup{F}_2]{\textup{F}_1 - 5\textup{F}_2} \end{array} \left ( \begin{array}{ccc|c} 0 & -23& 29 &6\\ 1 & 4& -6 &-1\\ 0 & -5 &16 & 11 \end{array} \right )\\ \ \\ \ \\ \begin{array}{c} \xrightarrow[]{23\textup{F}_3 - 5\textup{F}_1} \end{array} \left ( \begin{array}{ccc|c} 0 & -23& 29 &6\\ 1 & 4& -6 &-1\\ 0 & 0 & 223 & 223 \end{array} \right )[/tex]
So, z=1. Translating the last matrix to the associated system of equations, we have that x=1, y=1, since:
[tex]\large\displaystyle\text{$\begin{gathered}\sf \begin{align*} y&=\dfrac{6-29}{-23}=\dfrac{-23}{-23}=1\\ x = -1+6-4=1 \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{2) \ \left\{\begin{matrix} x+y=7& \\ x\times y=12& \end{matrix}\right. } \end{gathered}$}[/tex]
Clear an unknown in the first equation and substitute the resulting expression in the second. Next, the quadratic equation is solved.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ y=7-x \quad \Longrightarrow \quad 12=x(7-x)=7x-x^2 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ 0=x^2-7x+12=(x-4)(x-3); } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ x_1=4\qquad x_2=3 \Longrightarrow y_1=3 \qquad y_2=4 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{3) \ \left\{\begin{matrix} x^2+y^2=169& \\ x+y=17& \end{matrix}\right. } \end{gathered}$}[/tex]
Clear an unknown in the first equation and substitute the resulting expression in the second. Next, the quadratic equation is solved.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{ y=17-x \quad \Longrightarrow \quad 169=x^2 +(17-x)^2=x^2+x^2 -34x+289 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{ 0=2x^2-34x+120=2(x^2-17+60)=2(x-12)(x-5); } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{ x_1=4\qquad x_2=3 \Longrightarrow y_1=3 \qquad y_2=4 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \pmb{4 \ \left\{\begin{matrix} y^2-2y+1=x & \\ \sqrt{x}+y=5 & \end{matrix}\right. } \end{gathered}$}[/tex]
Substitute the expression that represents x into the second equation. Then both sides of the equation are squared and solved.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \pmb{ \sqrt{y^2-2y+1}+y=5\quad \Longrightarrow\quad \left ( \sqrt{y^2-2y+1} \right )^2=(5-y)^2 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \pmb{ y^2-2y+1=y^2-10y+25\quad \Longrightarrow\quad 8y=24; } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \pmb{ y=6 \qquad x=4 } \end{gathered}$}[/tex]
2. Mrs.Anub is sad because 75% of her pupils failed in the Summative Test.If 40 pupils failed in the test,how many pupils does she have.in the class?
Copy and answer:
a. What is asked in the problem?
b.What are the given facts?
c. What is the formula to be used to solve the problem?
d.What is the number sentence?
e.Solve and show your solution...
e.Write the answer...
Answer:
1. How many pupils does Mrs.Anub have in all
I am sorry but I could only solve question 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
a. How many pupils does she have in the class?
b. 40 pupils failed in the test.
c. x = all pupil in the class
percentage
d. 75/100 x = 40
e. 75/100 x = 40
x = 40*100/75
= 53.33
pupils = 53 people
f. There are 53 pupils in the class.
helppppop this is 7th grade math
the answer is B, D and F. I hope this was helpful
In the figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55° and ∠BAC 45°, Find ∠BCD.
Given,
ABCD is a cyclic quadrilateral in which AC and BD are its diagonals.
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf∠DBC= 55° and ∠BAC = 45°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf∠CAD = ∠DBC= 55° (Angles \: in \: the \: same \: segment)[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
Thus,
[tex] \sf∠DAB=∠CAD + ∠BAC[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf= 55° + 45° [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \sf= 100°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
We know that the opposite angles of a cyclic quadrilateral are supplimentary.
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf ∠DAB +∠BCD = 180°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf∠BCD = 180°-100° =80°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \pink{\boxed{\sf{∠BCD = 80°}}}[/tex]
Answer:
∠BCD = 80°
Step-by-step explanation:
Given -ABCD is a cyclic Quadrilateral.
∠DBC = 55°
∠BAC = 45°
To find -∠BDC
Solution..BC is a segment and angles of same segment are equal.=> ∠BAC = ∠BDC
=> 45° = ∠BAC { Angles of same segment BC}
In Triangle BCD
=> ∠BDC + ∠DBS + ∠BCD = 180°
=> 45° + 55° + ∠BCD = 180°
=> 100° + ∠BDC = 180°
=> ∠BDC = 180-100
=> 80° ans.
Write an equation to match each graph.
I already tried y=[x] that didn’t work
Answer:
y=|x|
Step-by-step explanation:
We know
general modulus function passes through origin as |0| is 0
And it's symmetric on both sides of y axis .
As it's not one -one function
Means
f(-1)=|-1|=1f(1)=|1|=1So the graph is y=|x|
Answer:
y = |x|
Step-by-step explanation:
The equation for the part of graph to the right of the y-axis is:
y = x where y ≥ 0
The equation for the part of graph to the left of the y-axis is:
y = -x where y ≥ 0
So we can see that both a positive and negative value of x gives the same positive value of y.
Therefore, we can create an equation for the graph by using the absolute value of x:
⇒ y = |x|
Absolute value means how far away a number is from zero.
"x" is x away from zero and "−x" is also x away from zero.
So the absolute value of x is x, and the absolute value of −x is also x.
The bars either side of the x shows that we want the absolute value of x.
In practice, think of "absolute value" as removing any negative sign in front of a number.
With y = x → when x = 1, y = 1 and when x = -1, y = -1
With y = |x| → when x = 1, y = 1 and when x = -1 we think of it as x = 1, so y = 1
Sort each type of expense into the category where it fits best.
clothing expenses
fixed expenses
variable expenses
mortgage expenses
rent
food expenses
loan payments
The categories that the expenses best fit into are:
fixed expenses :
mortgage expensesrentloan paymentsvariable expenses:
clothing expensesfood expensesWhat are fixed and variable expenses?Fixed expenses are the expenses that are constant. They do not vary with the quantity bought. Variable expenses are the expenses that vary. More quantities can be bought and this increases the expenses.
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Find the equation of the line shown
Answer: y = 1/2x + 1/2
somebody please help me with this
Answer:
15/56
Step-by-step explanation:
5 people have a license
3 people don't
? = Probability that first person has a license and second does not
We can divide the problem into two sections, the first being the probability of the first person having a license, and the second section is the probability that the second person doesn't have a license.
P1 = Probability of the first person having a license, there are 5 out of 8 person having a license, thus P1 = 5/8.
P2 = Probability of the second person having a license. There are 3 people not having a license, out of 8-1 = 7 persons available, since one is taken already from the first choice, therefore P2 = 3/7.
P1 and P2 are dependent events, thus P(1,2) = P1 * P2.
P(1,2) = P1 * P1 = 5/8 * 3/7 = 15/56
Please Help me (i will give brainly ) Is the following graph linear, exponential or quadratic?
Answer:
Exponential Graph
Step-by-step explanation:
The exponential graph of a function represents the exponential function properties.
Another way to known of if the graph's domain is all real numbers
Answer:
Exponential
Step-by-step explanation:
The listed points are :
(0, 27) (1, 9) (2, 3)The y-values are powers of 3 which decrease. Hence, it is exponential.
0.596 as a fraction and 0.596 as a percentage.
596/1000 and 59.6%
Step-by-step explanation:
because when we make 596/1000 is 0.596
11. Using the triangle below, set up and solve
an equation in order to find the value of x.
Step-by-step explanation:
hope it helps if there's any questions feel free to ask me but I'm sure that's how that question is hanled
2. In circle 0, points A and B lie on the circle such that OA = 2x + 9 and OB = 27 – x. Which of the following
represents the length of the radius of circle O?
(1) 6
(3) 21
(2) 18
(4) 42
7 UNIT 2(CALCULATOR 7 OF S
Part A
The first type of cup the manager ordered is in the shape of a right circular cone with the dimensions, in centimeters (cm), as shown in the
figure.
-7 cm
9 cm
What is the volume, in cubic centimeters, of each cup?
O A 110.25m
OB. 47.25T
OC. 36.75m
OD. 10.5m
Part B
Answer:
Volume of Cone=1/3πd²/4×h
= 1/3π×7²/4×9
= 36.75cm³
find arc JK
BRAINLIEST,POINTS,THANKS AND RATING GIVEN!!!
Answer:
164°
Step-by-step explanation:
By the property of intersecting chords, we have:[tex]m\angle JNK =\frac{1}{2}[m\widehat {JK}+m\widehat{LM}][/tex][tex]\implies 2*125\degree =(7x+31)\degree+86\degree[/tex][tex]\implies 250\degree =(7x+31)\degree+86\degree[/tex][tex]\implies 250\degree -86\degree=(7x+31)\degree[/tex][tex]\implies 164\degree=(7x+31)\degree[/tex][tex]\implies 164=7x+31[/tex][tex]\implies 164-31=7x[/tex][tex]\implies 133=7x[/tex][tex]\implies x = \frac{133}{7}[/tex][tex]\implies x = 19[/tex][tex]m\widehat{JK}=(7x+31)\degree [/tex][tex]\implies m\widehat{JK}=(7*19+31)\degree [/tex][tex]\implies \huge{\orange{m\widehat{JK}=164\degree}} [/tex]A 4-cup bottle of water costs $3.28. What is the price per pint?
Answer:
Step-by-step explanation:
4 cups = 1 pint
$3.28/4 = .82 per pint
Move a phrase and number to the blanks to complete the sentence.
Answer:
The sophomore in her school is 75
Step-by-step explanation:
Solution
The plot shows the distribution of 30 sophomores
We can see that there are 3 main vertical
line in red pen in the picture above.( distribution)
The first line means Minimum
The third line means the maximum
The second line means the medium
So the Medium is 75. And 30 sophomores in her
School took the survey.
So the medium belongs to them
Anna is painting the outside of cardboard box for an art project. The box is a rectangular prism that has a lenght of 24 inches, a width of 24 inches, and a height of 30 inches. Fine the Surface area of the cardboard box.
please help me on this
Answer:
it is the answer on the top
Please help me. I don’t know the answer.
Step-by-step explanation:
number 2)
3√2/3√4=
=3√2/3×2
=3√2/6
=3√2/6 ×3/3
=1√2/2
=√2/2
what is the answer to this question?
Answer:
y = 96
Step-by-step explanation:
given that y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
to find k use the condition when y = 24 , x = 2 , then
24 = k × 2² = 4k ( divide both sides by 4 )
6 = k
y = 6x² ← equation of proportion
when x = 4 , then
y = 6 × 4² = 6 × 16 = 96
Please show me the steps of solving this and the answer 2n² +3n-9
Answer: n=-3 and n=3/2
Step-by-step explanation:
To solve the expression, we want to find the values of n. Since there are no common factors in 2, 3, -9, we directly multiply the "a" and "c" values.
2×(-9)=-18
This means, we want to find two numbers that multiply to -18 and adds to 3. This can also be known as the cross method.
We will find that 6 and -3 multiply to -18, and adds to 3.
In our box method, we want to find the common factors.
|2n²|6n|
|-3n|-9|
Note: Just pretend the lines line up and form a square box, with a term in each box.
After finding that is in common between the boxes, we get (n+3)(2n-3)=0
To solve, we set each factor equal to 0.
n+3=0
n=-3
2n-3=0
2n=3
n=3/2
3 + 4ab+ 4ab - 5b + m
Number of terms:
Coefficients:
Constant terms:
Somebody help me
Answers:
Number of terms: 5Coefficients: 4, 4, -5 and 1Constant term: 3===================================================
Explanation:
Each term is separated by a plus sign or a minus sign. We could rewrite the 4ab-5b portion as 4ab + (-5b) to help get everything separated by a plus sign.
The five terms are
34ab4ab-5bmThe coefficients are the numbers just to the left of the variable. For a term like 4ab, the coefficient is 4. For the term "m", we can think of it as 1m so we can see it has a coefficient of 1.
The constant term is the term that doesn't have any variable attached to it. That would be the "3" as the first term.
Amanda invited 5 friends over for a sleepover. They decided to bake cupcakes. By the end of the night they had baked 6 dozen cupcakes. If the girls planned to use a third of the cupcakes for a bake sale and wanted to split the rest equally, how many would each girl receive?
Answer:
8
Step-by-step explanation:
After saving 1/3 of 6 dozen for the bake sale, the girls had 2/3 of 6 dozen left to split between them. Each of the 6 girls would receive 2/3 of 1 dozen, or 12×2/3 = 8 cupcakes.
Choose the function that represents the data in the table.
х
0
-3
1
-1
2
5
3
15
4
29
5
47
y
Oy - 3
0 y= 2* – 3
O y = 2x - 3
O y = 2x2 – 3
Answer:
Option (D): f(x) = 2x^2 – 3
Step-by-step explanation:
Math.
The function that represents the data in the table is y=2x²-3
What is a function?A relation is a function if it has only One y-value for each x-value.
Let us check the function of the given data by plugging any ordered pair in the given functions
Let us take a point (1, -1) to check each function
(a) y=x/2-3
-1= 1/2-3
-1=-5/2
So y=x/2-3 is not the function
(b) y=2ˣ-3
-1=2-3
-1=-1
Now let us check for other point
5=4-3
5=1
This function is not satisfied for all points
(c) y=2x-3
-1=-1
For point (2, 5)
5=-1
This function is not satisfied for all points
(d) y=2x²-3
-1=2-3
-1=-1
Now 5=8-3
5=5
Hence, the function that represents the data in the table is y=2x²-3
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2+2 son pea los anuncios
Does anyone know the answers or how to do this?
[tex]area = l \times w \\ area = 34 \times 17 \\ area = \: 578 {mm}^{2} [/tex]
Answer:- 578mm² = areaQuestion:- Find the volume of the whole figure?Given in figure:- Length = 17mmwidth = 34mmheight = 6mm Formula :- Area of the side which is a 2D triangle× length.Area of the triangle = ½× Width× height.Explanation :-[tex]Area \: of \: the \: triangle = ½× width×height. \\ area \: = \frac{1}{2} \times 34 \times 6 \\ area = 34 \times \frac{ {\cancel6} {}^{ \: \: 3} }{ \cancel2} \\ area = 34 \times 3 \: {mm}^{2} \\ area = 102 {mm}^{2} [/tex]
Now for volume :-[tex]volume \: = area \: \times length \\ vol = 102 \times 17 \: \: {mm}^{3} \\ vol \: = 1734{mm}^{3} [/tex]
Answer:- 1734 mm³ = volumeAnswer:
1734 mm² = volume
[tex] \\ \\ \\ \\ [/tex]
what is 18/6 redused?
Answer: 3
Step-by-step explanation:
3/1 or 3
hope it helps...!!!
